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Finding the Fourth Proportional to 210,865.01, 316,297.71 and 86,206.01

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Solution

The fourth proportional to 210,865.01, 316,297.71 and 86,206.01 is: 129,309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,865.01 : 316,297.71 = 86,206.01 : x
  2. Step 2: Convert to fraction form
    210,865.01/316,297.71 = 86,206.01/x
  3. Step 3: Cross multiply
    210,865.01x = 316,297.71 × 86,206.01
  4. Step 4: Simplify right side
    210,865.01x = 27,266,761,969.75
  5. Step 5: Solve for x
    x = 27,266,761,969.75/210,865.01
  6. Step 6: Final answer
    x = 129,309.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.